A class of blowup and global analytical solutions of the viscoelastic Burgersʼ equations

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Abstract

In this Letter, by employing the perturbational method, we obtain a class of analytical self-similar solutions of the viscoelastic Burgersʼ equations. These solutions are of polynomial-type whose forms, remarkably, coincide with that given by Yuen for the other physical models, such as the compressible Euler or Navier–Stokes equations and two-component Camassa–Holm equations. Furthermore, we classify the initial conditions into several groups and then discuss the properties on blowup and global existence of the corresponding solutions, which may be readily seen from the phase diagram. Copyright © 2013 Elsevier B.V.
Original languageEnglish
Pages (from-to)2275-2279
JournalPhysics Letters A
Volume377
Issue number37
Early online dateJul 2013
DOIs
Publication statusPublished - Nov 2013

Citation

An, H. L., Cheung, K.-L., & Yuen, M. W. (2013). A class of blowup and global analytical solutions of the viscoelastic Burgersʼ equations. Physics Letters A, 377(37), 2275-2279.

Keywords

  • Viscoelastic Burgers
  • Analytical solutions
  • Blowup
  • Global
  • Non-Newtonian fluid
  • Perturbational method

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